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Finding the Fourth Proportional to 350,765.69, 483,941.93 and 214,657.74

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Solution

The fourth proportional to 350,765.69, 483,941.93 and 214,657.74 is: 296,157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,765.69 : 483,941.93 = 214,657.74 : x
  2. Step 2: Convert to fraction form
    350,765.69/483,941.93 = 214,657.74/x
  3. Step 3: Cross multiply
    350,765.69x = 483,941.93 × 214,657.74
  4. Step 4: Simplify right side
    350,765.69x = 103,881,879,911.75
  5. Step 5: Solve for x
    x = 103,881,879,911.75/350,765.69
  6. Step 6: Final answer
    x = 296,157.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.